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Finding the Fourth Proportional to 6,408.72, 9,611.64 and 2,304.72

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Solution

The fourth proportional to 6,408.72, 9,611.64 and 2,304.72 is: 3,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.72 : 9,611.64 = 2,304.72 : x
  2. Step 2: Convert to fraction form
    6,408.72/9,611.64 = 2,304.72/x
  3. Step 3: Cross multiply
    6,408.72x = 9,611.64 × 2,304.72
  4. Step 4: Simplify right side
    6,408.72x = 22,152,138.94
  5. Step 5: Solve for x
    x = 22,152,138.94/6,408.72
  6. Step 6: Final answer
    x = 3,456.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.